1. Work out as many things as you can!
Here is a circle and a right-angled triangle inside a rectangle.
The measurements are in centimetres.
Acknowledgements – Ed Southall
Work out as many things as you can!

2. The radius and tangent meet at 900 𝑎 2 + 𝑏 2 = 𝑐 2
𝐴𝑟𝑒𝑎 𝑜𝑓 𝑎 𝑐𝑖𝑟𝑐𝑙𝑒= π 𝑟 2
𝐴𝑟𝑒𝑎 𝑜𝑓 𝑎 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒= 1 2 𝑏ℎ
Possible Scaffold
tan 𝜃= 𝑜𝑝𝑝 𝑎𝑑𝑗
𝑎 2 = 𝑏 2 + 𝑐 2 −2𝑏𝑐𝑐𝑜𝑠𝐴

3. Some ideas Work out the length of the hypotenuse.
How long is the chord?
What fraction is shaded?
Another possible scaffold
What is the area of the minor segment?
What are the angles in the Triangle?
Area of the Circle? Triangle?
Rectangle?

4. Mark your work Triangle
Hypotenuse = 5cm
Area = 6cm2
Angles 90, 36.9 and 53.1 degrees

5. Circle Radius = 2cm Area = 12.6cm2 (1 dp) Chord = 3.6cm (1dp)
Area of Minor Segment = 2.8cm2 (1 dp)

6. Rectangle
Length = 6cm
Area = 24cm2
Fraction of rectangle shaded = ¼